diff --git a/Lib/asyncio/runners.py b/Lib/asyncio/runners.py
index 03ce333..268635d 100644
--- a/Lib/asyncio/runners.py
+++ b/Lib/asyncio/runners.py
@@ -5,7 +5,7 @@
 from . import tasks
 
 
-def run(main, *, debug=False):
+def run(main, *, debug=None):
     """Execute the coroutine and return the result.
 
     This function runs the passed coroutine, taking care of
@@ -39,7 +39,8 @@
     loop = events.new_event_loop()
     try:
         events.set_event_loop(loop)
-        loop.set_debug(debug)
+        if debug is not None:
+            loop.set_debug(debug)
         return loop.run_until_complete(main)
     finally:
         try:
diff --git a/Lib/test/test_asyncio/test_runners.py b/Lib/test/test_asyncio/test_runners.py
index 3b58dde..b9ae02d 100644
--- a/Lib/test/test_asyncio/test_runners.py
+++ b/Lib/test/test_asyncio/test_runners.py
@@ -87,6 +87,9 @@
 
         asyncio.run(main(False))
         asyncio.run(main(True), debug=True)
+        with mock.patch('asyncio.coroutines._is_debug_mode', lambda: True):
+            asyncio.run(main(True))
+            asyncio.run(main(False), debug=False)
 
     def test_asyncio_run_from_running_loop(self):
         async def main():
diff --git a/Misc/NEWS.d/next/Library/2020-09-03-01-35-32.bpo-41696.zkYGre.rst b/Misc/NEWS.d/next/Library/2020-09-03-01-35-32.bpo-41696.zkYGre.rst
new file mode 100644
index 0000000..67bbbb8
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2020-09-03-01-35-32.bpo-41696.zkYGre.rst
@@ -0,0 +1 @@
+Fix handling of debug mode in :func:`asyncio.run`. This allows setting ``PYTHONASYNCIODEBUG`` or ``-X dev`` to enable asyncio debug mode when using :func:`asyncio.run`.
\ No newline at end of file